## Results (1-50 of 110 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
380.1.g.a $2$ $0.190$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$0$$ $$q+\zeta_{6}^{2}q^{5}+(\zeta_{6}+\zeta_{6}^{2})q^{7}-q^{9}+q^{11}+\cdots$$
380.1.o.a $2$ $0.190$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{5}-\zeta_{6}^{2}q^{9}+q^{11}+\zeta_{6}^{2}q^{19}+\cdots$$
380.1.x.a $4$ $0.190$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $$q+(-\zeta_{12}^{2}+\zeta_{12}^{5})q^{3}+\zeta_{12}^{2}q^{5}+\cdots$$
380.2.a.a $1$ $3.034$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-2$$ $+$ $$q-q^{5}-2q^{7}-3q^{9}-4q^{11}-4q^{13}+\cdots$$
380.2.a.b $1$ $3.034$ $$\Q$$ None None $$0$$ $$2$$ $$-1$$ $$2$$ $-$ $$q+2q^{3}-q^{5}+2q^{7}+q^{9}+6q^{13}+\cdots$$
380.2.a.c $2$ $3.034$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-4$$ $$2$$ $$-4$$ $+$ $$q+(-2+\beta )q^{3}+q^{5}+(-2-2\beta )q^{7}+\cdots$$
380.2.a.d $2$ $3.034$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$2$$ $$4$$ $-$ $$q+(1+\beta )q^{3}+q^{5}+2q^{7}+(1+2\beta )q^{9}+\cdots$$
380.2.c.a $4$ $3.034$ $$\Q(\sqrt{-2}, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+\beta _{2}q^{5}+(\beta _{1}-\beta _{3})q^{7}+\beta _{2}q^{9}+\cdots$$
380.2.c.b $6$ $3.034$ 6.0.14077504.2 None None $$0$$ $$0$$ $$-1$$ $$0$$ $$q+\beta _{2}q^{3}-\beta _{3}q^{5}+(-\beta _{3}-\beta _{4})q^{7}+\cdots$$
380.2.d.a $16$ $3.034$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{5}q^{3}+\beta _{2}q^{4}-\beta _{6}q^{5}+\cdots$$
380.2.d.b $40$ $3.034$ None None $$0$$ $$0$$ $$-4$$ $$0$$
380.2.f.a $20$ $3.034$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$0$$ $$-20$$ $$0$$ $$q-\beta _{12}q^{2}+\beta _{10}q^{3}+\beta _{16}q^{4}-q^{5}+\cdots$$
380.2.f.b $20$ $3.034$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$0$$ $$20$$ $$0$$ $$q-\beta _{15}q^{2}+\beta _{9}q^{3}-\beta _{19}q^{4}+q^{5}+\cdots$$
380.2.i.a $2$ $3.034$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$1$$ $$-8$$ $$q+(-2+2\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}-4q^{7}+\cdots$$
380.2.i.b $6$ $3.034$ 6.0.1783323.2 None None $$0$$ $$1$$ $$3$$ $$4$$ $$q+(\beta _{3}-\beta _{5})q^{3}+(1+\beta _{4})q^{5}+(1-\beta _{3}+\cdots)q^{7}+\cdots$$
380.2.i.c $8$ $3.034$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$0$$ $$-1$$ $$-4$$ $$0$$ $$q-\beta _{1}q^{3}+\beta _{4}q^{5}+\beta _{7}q^{7}+(-1+\beta _{1}+\cdots)q^{9}+\cdots$$
380.2.k.a $2$ $3.034$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$-2$$ $$-4$$ $$-4$$ $$q+(-1+i)q^{2}+(-1-i)q^{3}-2iq^{4}+\cdots$$
380.2.k.b $2$ $3.034$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$2$$ $$-4$$ $$4$$ $$q+(1-i)q^{2}+(1+i)q^{3}-2iq^{4}+(-2+\cdots)q^{5}+\cdots$$
380.2.k.c $52$ $3.034$ None None $$-2$$ $$-2$$ $$4$$ $$-4$$
380.2.k.d $52$ $3.034$ None None $$2$$ $$2$$ $$4$$ $$4$$
380.2.l.a $8$ $3.034$ 8.0.2702336256.1 $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-2$$ $$-6$$ $$q+\beta _{6}q^{5}+(-1+\beta _{3}+\beta _{5}-\beta _{6}+\beta _{7})q^{7}+\cdots$$
380.2.l.b $12$ $3.034$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$4$$ $$4$$ $$q-\beta _{2}q^{3}+(\beta _{3}-\beta _{8})q^{5}+\beta _{6}q^{7}+(\beta _{3}+\cdots)q^{9}+\cdots$$
380.2.n.a $40$ $3.034$ None None $$-3$$ $$0$$ $$20$$ $$0$$
380.2.n.b $40$ $3.034$ None None $$3$$ $$0$$ $$-20$$ $$0$$
380.2.r.a $20$ $3.034$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$0$$ $$1$$ $$0$$ $$q+(\beta _{1}-\beta _{11})q^{3}+(-\beta _{7}+\beta _{13})q^{5}+\cdots$$
380.2.s.a $112$ $3.034$ None None $$0$$ $$0$$ $$-2$$ $$0$$
380.2.u.a $18$ $3.034$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$3$$ $$0$$ $$0$$ $$q+(\beta _{3}-\beta _{7})q^{3}-\beta _{4}q^{5}+(\beta _{4}-\beta _{10}+\cdots)q^{7}+\cdots$$
380.2.u.b $18$ $3.034$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$3$$ $$0$$ $$0$$ $$q+\beta _{13}q^{3}+(\beta _{2}-\beta _{11})q^{5}+(-\beta _{1}-\beta _{4}+\cdots)q^{7}+\cdots$$
380.2.v.a $4$ $3.034$ $$\Q(\zeta_{12})$$ None None $$-4$$ $$6$$ $$-2$$ $$0$$ $$q+(-1-\zeta_{12}^{3})q^{2}+(2-\zeta_{12}-\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
380.2.v.b $4$ $3.034$ $$\Q(\zeta_{12})$$ None None $$2$$ $$-6$$ $$-2$$ $$0$$ $$q+(1+\zeta_{12}-\zeta_{12}^{2})q^{2}+(-2+\zeta_{12}+\cdots)q^{3}+\cdots$$
380.2.v.c $216$ $3.034$ None None $$0$$ $$0$$ $$0$$ $$0$$
380.2.y.a $4$ $3.034$ $$\Q(\zeta_{12})$$ None None $$0$$ $$6$$ $$2$$ $$-8$$ $$q+(1+\zeta_{12}+\zeta_{12}^{2}-2\zeta_{12}^{3})q^{3}+(1+\cdots)q^{5}+\cdots$$
380.2.y.b $36$ $3.034$ None None $$0$$ $$-6$$ $$-4$$ $$4$$
380.2.bb.a $336$ $3.034$ None None $$0$$ $$0$$ $$-12$$ $$0$$
380.2.bd.a $60$ $3.034$ None None $$0$$ $$0$$ $$0$$ $$0$$
380.2.be.a $120$ $3.034$ None None $$-3$$ $$0$$ $$0$$ $$0$$
380.2.be.b $120$ $3.034$ None None $$3$$ $$0$$ $$0$$ $$0$$
380.2.bh.a $120$ $3.034$ None None $$0$$ $$0$$ $$0$$ $$6$$
380.2.bj.a $672$ $3.034$ None None $$-12$$ $$0$$ $$-24$$ $$0$$
380.3.b.a $72$ $10.354$ None None $$4$$ $$0$$ $$0$$ $$0$$
380.3.e.a $12$ $10.354$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-12$$ $$q+\beta _{1}q^{3}+\beta _{6}q^{5}+(-1+\beta _{6}-\beta _{11})q^{7}+\cdots$$
380.3.g.a $4$ $10.354$ $$\Q(\sqrt{-6}, \sqrt{14})$$ None None $$0$$ $$0$$ $$-20$$ $$0$$ $$q-\beta _{1}q^{3}-5q^{5}+\beta _{2}q^{7}+5q^{9}+4q^{11}+\cdots$$
380.3.g.b $4$ $10.354$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$9$$ $$0$$ $$q+(2-\beta _{3})q^{5}+(\beta _{1}-\beta _{2})q^{7}-9q^{9}+\cdots$$
380.3.g.c $12$ $10.354$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$12$$ $$0$$ $$q-\beta _{5}q^{3}+(1+\beta _{3})q^{5}+\beta _{8}q^{7}+(6-\beta _{2}+\cdots)q^{9}+\cdots$$
380.3.h.a $108$ $10.354$ None None $$0$$ $$0$$ $$4$$ $$0$$
380.3.j.a $232$ $10.354$ None None $$0$$ $$0$$ $$-8$$ $$0$$
380.3.m.a $36$ $10.354$ None None $$0$$ $$-4$$ $$10$$ $$22$$
380.3.o.a $40$ $10.354$ None None $$0$$ $$0$$ $$-1$$ $$0$$
380.3.p.a $232$ $10.354$ None None $$0$$ $$0$$ $$-2$$ $$0$$
380.3.q.a $160$ $10.354$ None None $$0$$ $$0$$ $$0$$ $$0$$